LCM of 152, 745, 396, 770, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 745, 396, 770, 686 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 152, 745, 396, 770, 686. So, keep reading to learn more.
Given numbers are 152,745,396,770,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,745,396,770,686 is 3845290680.
Find LCM of 152,745,396,770,686 with Prime Factorization
| 2 | 152, 745, 396, 770, 686 |
| 2 | 76, 745, 198, 385, 343 |
| 5 | 38, 745, 99, 385, 343 |
| 7 | 38, 149, 99, 77, 343 |
| 11 | 38, 149, 99, 11, 49 |
| 38, 149, 9, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 38 x 149 x 9 x 1 x 49 = 3845290680
Therefore, the lowest common multiple of 152,745,396,770,686 is 3845290680.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
152 x 745 x 396 x 770 x 686 = 23686990588800
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
152 : 1, 2, 4, 8, 19, 38, 76, 152
745 : 1, 5, 149, 745
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,745,396,770,686, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
745:5x 149
396:2x 2x 3x 3x 11
770:2x 5x 7x 11
686:2x 7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 7x 11 = 6160
Therefore, the value for common factors is 6160.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 23686990588800/(1x6160)
LCM = 23686990588800/6160
LCM = 3845290680
Thus, we can understand that the LCM of 152,745,396,770,686 is 3845290680.
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FAQs on LCM of 152, 745, 396, 770, 686
1. What is the LCM of 152, 745, 396, 770, 686?
Answer: LCM of 152, 745, 396, 770, 686 is 3845290680.
2. How to calculate the LCM of 152, 745, 396, 770, 686?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 152, 745, 396, 770, 686.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.